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Finding the Fourth Proportional to 337.60, 506.34 and 142.57

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Solution

The fourth proportional to 337.60, 506.34 and 142.57 is: 213.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.60 : 506.34 = 142.57 : x
  2. Step 2: Convert to fraction form
    337.60/506.34 = 142.57/x
  3. Step 3: Cross multiply
    337.60x = 506.34 × 142.57
  4. Step 4: Simplify right side
    337.60x = 72,188.89
  5. Step 5: Solve for x
    x = 72,188.89/337.60
  6. Step 6: Final answer
    x = 213.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.